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404021144202 = 231328938311689
BaseRepresentation
bin1011110000100011000…
…10010110101010001010
31102121211221001122211120
411320101202112222022
523104413403103302
6505334343140110
741122010030334
oct5702142265212
91377757048746
10404021144202
11146387448575
1266375a44636
132c139753c00
14157aa25c454
15a7999489bc
hex5e11896a8a

404021144202 has 96 divisors (see below), whose sum is σ = 887198054400. Its totient is φ = 122585988096.

The previous prime is 404021144173. The next prime is 404021144281. The reversal of 404021144202 is 202441120404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34558374 + ... + 34570062.

It is an arithmetic number, because the mean of its divisors is an integer number (9241646400).

Almost surely, 2404021144202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404021144202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443599027200).

404021144202 is an abundant number, since it is smaller than the sum of its proper divisors (483176910198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404021144202 is a wasteful number, since it uses less digits than its factorization.

404021144202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 404021144202 its reverse (202441120404), we get a palindrome (606462264606).

The spelling of 404021144202 in words is "four hundred four billion, twenty-one million, one hundred forty-four thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 78 89 169 178 267 338 383 507 534 766 1014 1149 1157 2298 2314 3471 4979 6942 9958 11689 14937 15041 23378 29874 30082 34087 35067 45123 64727 68174 70134 90246 102261 129454 151957 194181 204522 303914 388362 443131 455871 886262 911742 1040321 1329393 1975441 2080642 2658786 3120963 3950882 4476887 5760703 5926323 6241926 8953774 11521406 11852646 13430661 13524173 17282109 26861322 27048346 34564218 40572519 58199531 81145038 116399062 174598593 175814249 349197186 351628498 398442943 527442747 756593903 796885886 1054885494 1195328829 1513187806 2269781709 2390657658 4539563418 5179758259 10359516518 15539274777 31078549554 67336857367 134673714734 202010572101 404021144202